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Simplifying 4x + -34 = 7x + x + -14 Reorder the terms: -34 + 4x = 7x + x + -14 Reorder the terms: -34 + 4x = -14 + 7x + x Combine like terms: 7x + x = 8x -34 + 4x = -14 + 8x Solving -34 + 4x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -34 + 4x + -8x = -14 + 8x + -8x Combine like terms: 4x + -8x = -4x -34 + -4x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -4x = -14 + 0 -34 + -4x = -14 Add '34' to each side of the equation. -34 + 34 + -4x = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = -14 + 34 -4x = -14 + 34 Combine like terms: -14 + 34 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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